Name
Title | ||
|---|---|---|
The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes |
Abstract | ||
|---|---|---|
We construct a new nonlinear finite volume scheme for diffusion equation on polygonal meshes and prove that the scheme satisfies the discrete extremum principle. Our scheme is locally conservative and has only cell-centered unknowns. Numerical results are presented to show how our scheme works for preserving discrete extremum principle and positivity on various distorted meshes. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jcp.2010.12.037 | J. Comput. Physics |
Keywords | Field | DocType |
diffusion equation,scheme work,extremum principle,new nonlinear finite volume,cell-centered unknown,finite volume scheme,polygonal meshes,polygonal mesh,various distorted mesh,discrete extremum principle,numerical result,satisfiability | Polygon,Nonlinear system,Polygon mesh,Mathematical analysis,Finite volume method,Diffusion equation,Mathematics | Journal |
Volume | Issue | ISSN |
230 | 7 | Journal of Computational Physics |
Citations | PageRank | References |
16 | 0.86 | 23 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhiqiang Sheng | 1 | 129 | 14.39 |
| Guangwei Yuan | 2 | 165 | 23.06 |